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arXiv · 2211.15611

Special Cases of the Minimum Spanning Tree Problem under Explorable Edge and Vertex Uncertainty

Corinna Mathwieser·Eranda Cela
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Abstract

This article studies the Minimum Spanning Tree Problem under Explorable Uncertainty as well as a related vertex uncertainty version of the problem. We particularly consider special instance types, including cactus graphs, for which we provide randomized algorithms. We introduce the problem of finding a minimum weight spanning star under uncertainty for which we show that no algorithm can achieve constant competitive ratio.

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Corinna Mathwieser, Eranda Cela. 2022-11-28. Special Cases of the Minimum Spanning Tree Problem under Explorable Edge and Vertex Uncertainty. https://arxiv.org/abs/2211.15611

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